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Finding the Fourth Proportional to 57,893.09, 86,839.62 and 16,340.09

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Solution

The fourth proportional to 57,893.09, 86,839.62 and 16,340.09 is: 24,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,893.09 : 86,839.62 = 16,340.09 : x
  2. Step 2: Convert to fraction form
    57,893.09/86,839.62 = 16,340.09/x
  3. Step 3: Cross multiply
    57,893.09x = 86,839.62 × 16,340.09
  4. Step 4: Simplify right side
    57,893.09x = 1,418,967,206.37
  5. Step 5: Solve for x
    x = 1,418,967,206.37/57,893.09
  6. Step 6: Final answer
    x = 24,510.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.